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Finding the Third Proportional to 38,394 and 83,880

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Solution

The third proportional to 38,394 and 83,880 is: 183,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394 : 83,880 = 83,880 : x
  2. Step 2: Convert to fraction form
    38,394/83,880 = 83,880/x
  3. Step 3: Cross multiply
    38,394x = 83,880 × 83,880
  4. Step 4: Simplify right side
    38,394x = 7,035,854,400
  5. Step 5: Solve for x
    x = 7,035,854,400/38,394
  6. Step 6: Final answer
    x = 183,254.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.